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Finding the Fourth Proportional to 73,254.36, 109,784.49 and 37,714.25

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Solution

The fourth proportional to 73,254.36, 109,784.49 and 37,714.25 is: 56,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,254.36 : 109,784.49 = 37,714.25 : x
  2. Step 2: Convert to fraction form
    73,254.36/109,784.49 = 37,714.25/x
  3. Step 3: Cross multiply
    73,254.36x = 109,784.49 × 37,714.25
  4. Step 4: Simplify right side
    73,254.36x = 4,140,439,701.98
  5. Step 5: Solve for x
    x = 4,140,439,701.98/73,254.36
  6. Step 6: Final answer
    x = 56,521.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.